What is limit as x approaches 0 of x*(2^x)/((2^x)-1))
x 2^x / (2^x-1)
taking derivatives, we have
(xlog2 + 1) 2^x / (log2 * 2^x)
limit as x->0 of that is just 1/log2
taking derivatives, we have
(xlog2 + 1) 2^x / (log2 * 2^x)
limit as x->0 of that is just 1/log2